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jeka94
2 years ago
13

Find the value of y if the figure is a regular polygon.

Mathematics
2 answers:
KIM [24]2 years ago
7 0

Answer:

y= 30°

Step-by-step explanation:

y° +y°+y°+y°+y°+y°=180°

6y°=180°

y=30°

katen-ka-za [31]2 years ago
7 0

Answer:

y = 60

Step-by-step explanation:

The exterior angles of a regular polygon add up to 360. Try drawing a square which has exterior angles = 90 degrees or an equilateral triangle which has an exterior angle of 120.

Formula is

Exterior angle = 360 / number of sides

number of sides = 6

Exterior angle = 360/6 = 60

x  is the supplement of y

x + y = 180

x + 60 = 180     Subtract 60 from both sides

x = 180 - 60

x  = 120

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Answer:

The Consecutive number are 46 , 47 and 48 having sum as 141

The smallest number is 46

Step-by-step explanation:

• A consecutive numbers means number are in a sequence and are one after the another !

e.g. n , (n+1). Or 1 , 2 are consecutive numbers

• A consecutive even numbers differ by 2 because all even numbers are divisible by 2 !

• If the number is divisible by x we must had taken number as n , ( n + x ) ,

( n + 2x )

• Let the numbers be ( n - 1 ) , n and

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Given ,the sum of numbers is 141

n - 1 + n + n + 1 = 141

3n = 141

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• Verification :-

46 + 48 + 47 = 141

Which satisfies the given condition !!

Hence , verified !!

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3 years ago
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Semenov [28]
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